3565438560 has 240 divisors, whose sum is σ = 13324028256. Its totient is φ = 894799872.

The previous prime is 3565438519. The next prime is 3565438561. The reversal of 3565438560 is 658345653.

3565438560 is a `hidden beast` number, since 3 + 5 + 6 + 54 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3565438561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212229 + ... + 228411.

Almost surely, 2^3565438560 is an apocalyptic number.

3565438560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3565438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662014128).

3565438560 is an abundant number, since it is smaller than the sum of its proper divisors (9758589696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3565438560 is a wasteful number, since it uses less digits than its factorization.

3565438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16227 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 3565438560 is about 59711.2934041794. The cubic root of 3565438560 is about 1527.6985004941.

The spelling of 3565438560 in words is "three billion, five hundred sixty-five million, four hundred thirty-eight thousand, five hundred sixty".